Transfer function of PID controller

The transfer function of PID controller is:

  1. KP + KI/s + KDs
  2. s.KP + KI/s + KDs
  3. KP + s.KI + KD/s
  4. s.KP + KI/s + KD/s

Correct answer: 1. KP + KI/s + KDs


  • The transfer function of a proportional controller is KP
  • While transfer function of the integral controller is KI/s
  • While transfer function of derivative controller is KDs

Since a PID controller (Proportional, Integral, Derivative controller) is a combination of all the three, the transfer function of PID controller is KP + KI/s + KDs

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